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THEORIE DES NOMBRES


ABHYANKAR, S.

Algebraic Geometry for Scientists and Engineers, Mathematical Surveys and Monographs, vol. 35, American Mathematical Society, 1990

ALLOUCHE, J.-P. ; SHALLIT, J.

Automatic sequences, CUP, 2003.

BAKER, A.

Transcendental Number Theory, Cambridge Mathematical Library, CUP, 1990

BOMBIERI, E.

Le grand crible dans la théorie analytique des nombres, Astérique 17, Société Mathématique de France, 1974

BOMBIERI, E. ; GUBLER, W.

Heights in Diophantine Geometry, New Mathematical Monographs, 4. Cambridge University Press, 2006.

BOREL, A. ; CASSELMAN, W.

Automorphic Forms, Representations and L-functions, Proc. Symp. Pure Math., vol. XXXIII, 1-2, American Mathematical Society, 1979

BOREVITCH, Z.I. ; CHAFAREVITCH, I.R.

Théorie des nombres. Les Grands Classiques Gauthier-Villars. Éditions Jacques Gabay, Sceaux, 1993.

BOSCH, S. ; LUETKEBOHMERT, W. ; RAYNAUD, M.

Néron models, EMG 21, Springer-Verlag, 1990

BRUINIER, J.H. ; VAN DER GEER, G. ; HARDER, G. ; ZAGIER, D.

The 1-2-3 of modular forms.Lectures from the Summer School on Modular Forms and their Applications held in Nordfjordeid, June 2004, Universitext. Springer-Verlag, Berlin, 2008.

CASSELS, J. W.

Introduction to the geometry of numbers, Springer-Verlag, 1959

CASSELS, J.W.S. ; FRÖHLICH, A. (editors)

Algebraic number theory.Proceedings of the instructional conference held at the University of Sussex, Brighton, September 1-17, 1965, Academic Press,1986

CHAHAL, J.

Topics in Number Theory, The University Series in Mathematics, Plenum Press, 1988

COHEN, H. et al. 

Handbook to elliptic and hyperelliptic cryptography. Discrete mathematics and its applications, Chapman & Hall, 2006.

CORNELL, G. ; SILVERMAN, J.

Arithmetic Geometry, Springer-Verlag, 1986

COX, D.A.

Primes of the form x^2 + ny^2.Fermat, class field theory and complex multiplication, John Wiley & Sons, 1989.

CRANDALL, R. ; POMERANCE, C. B.

Prime Numbers : a computational perspective, Springer, 2005

DWORK, B. ; GEROTTO, G. ; SULLIVAN, F.

An introduction to G-functions, Annals of Math. Studies, vol. 133, Princeton university press, 1994.

FLATH, D.

Introduction to Number Theory, John Wiley and Sons, 1989

FOOTE, R. ; DUMMIT, D

Abstract Algebra, John Wiley and Sons, 2004

GROSSWALD, E.

Representations of integers as sums of squares. Springer-Verlag, New York, 1985. ISBN: 0-387-96126-7

HARDY, G. H. ; WRIGHT, E. M.

An Introduction to the Theory of Numbers, Oxford University Press, 2008

HIDA, H.

Elementary theory of L-functions and Eisenstein Series. London Math. Soc. Student Texts, vol. 26, Cambridge University Press, 1993

HINDRY, M. ; SILVERMAN, J.

Diophantine Geometry - An introduction. Graduate Texts in Mathematics, vol. 201, Springer-Verlag, 2000.

IGUSA, J-I.

An introduction to the theory of the local zeta functions
AMS/IP Studies in Advanced Mathematics, vol. 14, AMS, 2000

IRELAND, K. ; ROSEN, M.

A classical introduction to modern number theory, Graduate Texts in Mathematics, 84. Springer-Verlag, New York, 1990

IWANIEC, H. ; KOWALSKI, E.

Analytic number theory. American Mathematical Society Colloquium Publications, 53. American Mathematical Society, 2004.

KATZ, N. ; MAZUR, B.

Arithmetic moduli of elliptic curves, Annals of Math. Studies, vol. 108, Princeton University Press, 1985

KOBLITZ, N.

p-adic numbers, p-adic analysis, and zeta-functions. Second edition. Graduate Texts in Mathematics, 58. Springer-Verlag, 1984.

LANDAU E.

Handbuch der Lehre von der Verteilung der Primzahlen, Chelsea, 1953

LANG, S.

Algebraic Number Theory, Addison-Wesley, 1970

LANG, S.

Cyclotomic Fields I & II, GTM 121, Springer-Verlag, 1990

LANG, S.

Elliptic functions, Graduate Texts in Mathematics, 112. Springer-Verlag, 1987

LANG, S.

Diophantine Geometry, Springer-Verlag, 1991.

MANIN, Y.I. ; PANCHISHKIN, A.A.

Introduction to modern number theory : Fundamental problems, ideas and theories, Encyclopaedia of Mathematical Sciences, 49. Springer-Verlag, 2005.

NEUKIRCH, J.

Algebraic number theory, Grundlehren der Mathematischen Wissenschaften, 322. Springer-Verlag, 1999

RANSFORD, T.

Potential Theory in the Complex Plane. Cambridge University Press, 1995

RIBENBOIM, P.

Algebraic Numbers, Pure and Applied Mathematics, vol. 27, Wiley-Interscience, 1972

RIBENBOIM, P.

The Book of Prime Records, Springer-Verlag, 1989

SAMUEL, P.

Algebraic Theory of Numbers, Houghton Mifflin Co., 1970

SERRE, J-P

Corps locaux, Act.Sc.& Industr. N°1296, Hermann, Paris 1968

SERRE, J-P

Cours d'arithmétique, Collection SUP, PUF, Paris 1977.

SERRE, J-P

Œuvres, Vol 1, 2, 3, Springer-Verlag, 1986

SERRE, J.-P.

Lectures on the Mordell-Weil Theorem, Aspects of Mathematics, Viehweg, 1997.

SERRE, J-P.

A Course in Arithmetic, Graduates Texts in Mathematics, n°7, Springer-Verlag, 1973

SERRE, J-P.

Abelian l-adic representations and elliptic curves, Walter Benjamin, 1968

SERRE, J-P.

Topics in Galois Theory, Research notes in Math, vol. 1, Jones and Bartlett, 1992.

SHIMURA, G.

Introduction to the Arithmetic Theory or Automorphic Functions, Publ. Math. Soc. Japan n°11, Princeton U. Press, 1971

SILVERMAN, J.

The arithmetic of dynamical systems, Graduate Texts in Mathematics, vol. 241, Springer-Verlag, New York, 2007

SILVERMAN, J.H.

The arithmetic of elliptic curves, Graduate Texts in Mathematics, 106. Springer, 2009

SILVERMAN, J.H.

Advanced topics in the arithmetic of elliptic curves. Graduate Texts in Mathematics, 151. Springer-Verlag,1994.

SILVERMAN, J.H. ; TATE, J.

Rational points on elliptic curves, Undergraduate Texts in Mathematics. Springer-Verlag, 1992.

SOULE, C.

Lectures on Arakelov Geometry, Cambridge Studies in Advanced Mathematics, vol. 33. Cambridge University Press, 1992

TITCHMARSH, E. C.

The Theory of Riemann Zeta Function, Clarendon Press, 1986

VIGNERAS, M.-F.

Arithmétique des algèbres de quaternions, Lecture notes in mathematics, vol. 800, Springer-Verlag, 1980.

WALDSCHMIDT, M.

DIophantine approximation on linear algebraic groups. Grundlehren der mathematischen Wissenschaften, vol. 326, Springer-Verlag, 2000.

WASHINGTON, L.C.

Introduction to cyclotomic fields, Graduate Texts in Mathematics, 83. Springer-Verlag, 1997.

WASHINGTON, L.

Elliptic Curves : Number Theory and Cryptography, Discrete Mathematics and its Application, Chapman and Hall/CRC, 2008

WASHINGTON, L.

Introduction to Cryptography with Coding Theory, Pearson Prentice Hall, 2006

WEIL, A.

Œuvres Scientifiques, Vol. 1, 2, 3, Springer-Verlag, 1979-1980

ZANNIER, U.

Lectures notes on Diophantine analysis, Appunti Scuola Normale superiore di Pisa, vol. 8, 2009.
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